Ordered Directionally Monotone Functions: Justification and Application

In this paper, we introduce the notion of ordered directionally monotone function as a type of function which allows monotonicity along different directions in different points. In particular, these functions take into account the ordinal size of the coordinates of the inputs in order to fuse them....

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Bibliographic Details
Published in:	IEEE transactions on fuzzy systems Vol. 26; no. 4; pp. 2237 - 2250
Main Authors:	Bustince, Humberto, Barrenechea, Edurne, Sesma-Sara, Mikel, Lafuente, Julio, Dimuro, Gracaliz Pereira, Mesiar, Radko, Kolesarova, Anna
Format:	Journal Article
Language:	English
Published:	New York IEEE 01-08-2018 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Aggregation function edge detection Electronic mail function-based monotonicity Fuses Image edge detection Indexes Mathematics Monotone functions ordered directionally monotone function Signal to noise ratio weak monotonicity
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Summary:	In this paper, we introduce the notion of ordered directionally monotone function as a type of function which allows monotonicity along different directions in different points. In particular, these functions take into account the ordinal size of the coordinates of the inputs in order to fuse them. We show several examples of these functions and we study their properties. Finally, we present an illustrative example of an application which justifies the introduction and the study of the concept of ordered directional monotonicity.
ISSN:	1063-6706 1941-0034
DOI:	10.1109/TFUZZ.2017.2769486